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Finding the Fourth Proportional to 3,451.68, 4,766 and 2,126

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Solution

The fourth proportional to 3,451.68, 4,766 and 2,126 is: 2,935.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.68 : 4,766 = 2,126 : x
  2. Step 2: Convert to fraction form
    3,451.68/4,766 = 2,126/x
  3. Step 3: Cross multiply
    3,451.68x = 4,766 × 2,126
  4. Step 4: Simplify right side
    3,451.68x = 10,132,516
  5. Step 5: Solve for x
    x = 10,132,516/3,451.68
  6. Step 6: Final answer
    x = 2,935.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.